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Free_Kalibri [48]
3 years ago
8

A bird drops a stick from the top of Miami Tower. The height of the stick after x seconds is given by f(x) = 625 - 16x^2.

Mathematics
1 answer:
Leni [432]3 years ago
3 0

ANSWER

The maximum value is 625

EXPLANATION

The height of the stick that the bird dropped is modeled by the function;

f(x) = 625 - 16x^2

This function is already in the vertex form.

Let me rewrite it clearly for you to see.

f(x) = - 16(x - 0)^2 + 625

When we compare this to;

f(x)=a(x-h)^2+k

we have h=0 and k=625.

k=625 is the y-value of the vertex.

This is the maximum value on the graph of this function.

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<h2><em><u>Ans</u></em><em><u>wer</u></em><em><u>:</u></em></h2>

Let m<6 be X

140° + X = 180°

X = 180° - 140°

X =40°

5 0
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In order to estimate the average electric usage per month, a sample of 81 houses was selected and the electric usage was determi
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Answer:

Confidence interval:  (1760,1956)

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 81

Sample mean =

\bar{x} = 1858 \text{ kWh}

Population standard deviation =

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Confidence Level = 95%

Significance level = 5% = 0.05

Confidence interval:

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Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96

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6 0
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Step-by-step explanation:

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Find the vertex of this parabola: y=-4x^2+8x-12
tatiyna
<span>The vertex of the parabola is the highest or lowest point of the graph. 

</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3) 

Lets work with this now: </span>x^2 -2x +3

x^2 -2x +3 -> what is the closeset perfect square? 
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2

Replacing to original 
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8

The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8

This will be the max of the parabola as there is - for the highest factor (-4x^2)

The max: x=1, y= -8
4 0
3 years ago
Read 2 more answers
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